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Answer the foll. Question : 2.show that ...

Answer the foll. Question : 2.show that `|[1+a,1,1],[1,1+b,1],[1,1,1+c]|` =`abc(1+1/a+1/b+1/c)`,`(abc != 0)`

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Without expanding show that |[1/a,1,bc],[1/b,1,ca],[1/c,1,ab]|=0

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UNITED BOOK HOUSE-SET 13-EXERCISE
  1. Using the method of differentail find the approximate value of sqrt 0....

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  2. A variable plane moves in such a way that the sum of the reciprocals o...

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  3. If A and B are two independent events, prove that A^C and B are also i...

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  4. Five cards are drawn successively with replacement from a well-shuffle...

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  5. If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13, find the valu...

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  6. If A and B are tow matrices such that AB =O, can we deduce that eithe...

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  7. (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...

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  8. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

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  9. Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)

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  10. Evaluate: int(log(logx)+1/((logx)^2))dx

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  11. Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).

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  12. Prove, by vector method or otherwise, that the point of intersectio...

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  13. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

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  14. A candidate is selected for interview for the three posts. For the fir...

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  15. For a random variable X, it is given, E(x) = 10 and var(x) = 25. Find ...

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  16. A stone is dropped into a quiet lake and waves moves in circles at a s...

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  17. If the sum of the lengths of the hypotenuse and another side of a righ...

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  18. Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30, wh...

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  19. Find the foot of the perpendicular drawn from the point (2 hati - hatj...

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  20. Show that the equation of the plane passing through the point (1,2,3) ...

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